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Finding the Fourth Proportional to 4,122.72, 6,188.40 and 1,526.40

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Solution

The fourth proportional to 4,122.72, 6,188.40 and 1,526.40 is: 2,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.72 : 6,188.40 = 1,526.40 : x
  2. Step 2: Convert to fraction form
    4,122.72/6,188.40 = 1,526.40/x
  3. Step 3: Cross multiply
    4,122.72x = 6,188.40 × 1,526.40
  4. Step 4: Simplify right side
    4,122.72x = 9,445,973.76
  5. Step 5: Solve for x
    x = 9,445,973.76/4,122.72
  6. Step 6: Final answer
    x = 2,291.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.